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* Closes #1964 Adds the possibility to define operator fixities. They live in a separate namespace. Standard library defines a few in `Stdlib.Data.Fixity`: ``` syntax fixity rapp {arity: binary, assoc: right}; syntax fixity lapp {arity: binary, assoc: left, same: rapp}; syntax fixity seq {arity: binary, assoc: left, above: [lapp]}; syntax fixity functor {arity: binary, assoc: right}; syntax fixity logical {arity: binary, assoc: right, above: [seq]}; syntax fixity comparison {arity: binary, assoc: none, above: [logical]}; syntax fixity pair {arity: binary, assoc: right}; syntax fixity cons {arity: binary, assoc: right, above: [pair]}; syntax fixity step {arity: binary, assoc: right}; syntax fixity range {arity: binary, assoc: right, above: [step]}; syntax fixity additive {arity: binary, assoc: left, above: [comparison, range, cons]}; syntax fixity multiplicative {arity: binary, assoc: left, above: [additive]}; syntax fixity composition {arity: binary, assoc: right, above: [multiplicative]}; ``` The fixities are identifiers in a separate namespace (different from symbol and module namespaces). They can be exported/imported and then used in operator declarations: ``` import Stdlib.Data.Fixity open; syntax operator && logical; syntax operator || logical; syntax operator + additive; syntax operator * multiplicative; ```
32 lines
550 B
Plaintext
32 lines
550 B
Plaintext
module Symbols;
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import Stdlib.Data.Fixity open;
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import Stdlib.Data.Nat open;
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╘⑽╛ : Nat := suc 9;
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-- no - function!?
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- : Nat -> Nat -> Nat := (+);
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（-） : Nat -> Nat -> Nat := (-);
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（*） : Nat -> Nat -> Nat := (*);
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syntax operator － additive;
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－ : Nat -> Nat -> Nat := （-）;
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syntax operator · multiplicative;
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· : Nat -> Nat -> Nat := （*）;
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（0） : Nat := ╘⑽╛ － ╘⑽╛ · zero;
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主功能 : Nat := （0）;
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axiom = : Type;
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K : Nat → Nat → Nat
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| =a@zero =b := =a · =b
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| =a@(suc =b) == := =b · ==;
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